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Solve the equation $4^x = 3 + 4^{-x}$. Give your answer correct to $3$ decimal places.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or show $u^2-3u-1=0$, or an equivalent equation in $4^x$” …
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